Journal of Applied Mathematics

Inverse Source Identification by the Modified Regularization Method on Poisson Equation

Xiao-Xiao Li, Heng Zhen Guo, Shi Min Wan, and Fan Yang

Full-text: Open access

Abstract

This paper deals with an inverse problem for identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point. Since this problem is illposed, we obtain the regularization solution by the modified regularization method. Furthermore, we obtain the Hölder-type error estimate between the regularization solution and the exact solution. The numerical results show that the proposed method is stable and the unknown source is recovered very well.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 971952, 13 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495013

Digital Object Identifier
doi:10.1155/2012/971952

Mathematical Reviews number (MathSciNet)
MR2872349

Zentralblatt MATH identifier
1234.35313

Citation

Li, Xiao-Xiao; Guo, Heng Zhen; Wan, Shi Min; Yang, Fan. Inverse Source Identification by the Modified Regularization Method on Poisson Equation. J. Appl. Math. 2012 (2012), Article ID 971952, 13 pages. doi:10.1155/2012/971952. https://projecteuclid.org/euclid.jam/1355495013


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